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This figure is 1/4 of a circle.

What is the best approximation for the perimeter of the figure?

There are 12 different possible outcomes if Mamadou flips a coin and rolls a die.

What is the outcome?

An outcome is a possible result of an experiment or event. It is one of the possible things that can happen when the experiment or event is performed or occurs. For example, when rolling a die, the possible outcomes are the numbers 1 through 6.

To calculate the total number of outcomes, we need to multiply the number of outcomes for each event.

The coin has two possible outcomes (heads or tails).

The die has six possible outcomes (numbers 1 to 6).

Therefore, the total number of possible outcomes is:

2 (coin) x 6 (die) = 12

Hence, there are 12 different possible outcomes if Mamadou flips a coin and rolls a die.

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Answer: B. 5 and 6

Step-by-step explanation:

the square root of 35 is approximately 5.91607, making it fall between the numbers 5 and 6.

Answer:

(-25, 5)

Step-by-step explanation:

Answer:

33 tickets

Step-by-step explanation:

Let's call the number of early-admission tickets sold "x".

We know that 75% of the total tickets sold were early-admission tickets, so we can set up the equation:

0.75 * 44 = x

To solve for x, we first simplify the left side:

0.75 * 44 = 33

Now we can solve for x by dividing both sides by 0.75:

x = 33

Therefore, the school sold 33 early-admission tickets.

P(A¯|B)  =  1.33 if P(B)=0.30, P(A)=0.75, and P(A¯∪B) = 0.40. with the help of probability.

Prοbability describes the pοssibility οf an event happening.

In real life, we frequently need tο make predictiοns abοut the future

We may οr may nοt be aware οf hοw things turn οut.

I assert that the event may οr may nοt take place if this οccurs.

In general, prοbability has a lοt οf great applicatiοns in artificial intelligence, prοbability-based ecοnοmics, and games.

By simply dividing the favοurable number οf pοssibilities by the entire number οf οutcοmes, οne can calculate the chance οf οccurrence using a prοbability fοrmula.

According to our question-

P(A¯|B) = P(A¯∪B)/PB

= 0.40/0.30

= 4/3

= 1.33

Thus,  P(A¯|B)  =  1.33 if P(B)=0.30, P(A)=0.75, and P(A¯∪B) = 0.40.

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Answer: -5g + 15h - 25 = -5 × (g - h + 5)

Step-by-step explanation:

Step-by-step explanation:

first we do this  -5g = -5 × g

then 15h = 5 × 3h

so, -25 = -5 × 5

when -5g + 15h - 25 = -5 × g - (-5 × 3h) + (-5 × 5)

the answer is = -5 × (g - h + 5)

       According to the Factors of a Negative Number

First The factors of a number entail all of the numbers that can be multiplied by one another to produce that many numbers.

According to The laws of multiplication that the state when a negative number is multiplied by a positive number then also the product will be negative.

Although when the Factors are those numbers. when it is multiplied with together then the result is another number, which is known as a product.

The sampling method used is random sampling and the expected recognition rate in the sample is 50%. The population size is unknown, but it is expected that 3.5 of the 7 consumers in the sample would recognize the brand.

(a) The sampling method is random sampling.

(b) The population size is unknown.

(c) The expected recognition rate in the sample is 50%.

(d) 3.5 of the 7 consumers in the sample would be expected to recognize the brand. This is because 50% of the population is expected to recognize the brand, and since 7 is a small sample, the expected recognition rate in the sample is rounded down to the nearest whole number.

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The complete question is ;    A brand name has a 60% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small sample of 7 randomly selected consumers. Complete parts (a) through (d) below.

a. What is the probability that exactly 6 of the selected consumers recognize the brand name?

The probability that exactly 6 of the 7 consumers recognize the brand name is ?

Answer:

If Ava had $28.50 to spend at the farmer's market, and she has $12 left after buying three pumpkins, then the total cost of the three pumpkins must have been:

$28.50 - $12 = $16.50

So Ava spent $16.50 on three pumpkins.

To find the average cost per pumpkin, we can divide the total cost by the number of pumpkins:

$16.50 / 3 = $5.50

Therefore, the average cost per pumpkin was $5.50.

Answer:

31 minutes is equal to 0.52 of an hour.

Answer:

31/60 is the answer for what fraction of an hour is 31 minutes.

Here are the experimental probabilities of each result (landing open side up, closed side up, and on its side):

P(A)=3/50=.06

P(B)=7/50=.14

P(C)=40/50=.8

Experimental probability is the probability of an event based on the outcomes of an experiment or series of trials. It is also known as empirical probability, and it is calculated by dividing the number of times the event occurred by the total number of trials or observations.

A = Occurrence of turning open-side-up

B = Occurrence of close-side up

C = The cup's likelihood of hitting its sides

Then, as it is given that:

50 times the paper cup was thrown.

3 instances of A happened.

7 instances of B were recorded.

40 instances of C happened.

Thus, their experimental probabilities are obtained as:

P(A)=3/50=.06

P(B)=7/50=.14

P(C)=40/50=.8

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The measure of the angle in the right angle triangle is 60 degrees.

A 80-foot escalator rises a vertical distance of 40 feet. The measure of the angle identified in the picture can be calculated as follows:

The diagram is a right angle triangle. The angle measure can be found using trigonometric ratios as follows:

Therefore,

cos ∅ = adjacent / hypotenuse

adjacent side = 40 feet

hypotenuse side = 80 feet

cos ∅ = 40 / 80

cos ∅ = 1 / 2

∅ = cos⁻¹ 0.5

∅ = 60 degrees

Therefore, the measure of the angle is 60 degrees.

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Not all linear transformations have a matrix representation. A counter-example is a linear transformation that changes the dimension of the vector space.

What is Linear transformation?

The function g(x) is a linear transformation if each term of each component of g(x) is a number times one of the variables.

For example, consider the linear transformation T: R^2 -> R^3 defined by:

T(x, y) = (x, y, 0)

This transformation maps each point in the xy-plane to a point in the x,y,z-space with z-coordinate 0. It is a linear transformation, since it preserves addition and scalar multiplication. However, it cannot be represented by a matrix, since it changes the dimension of the vector space.

The theorem that establishes the existence of a matrix representation for every linear transformation is known as the matrix representation theorem. It states that every linear transformation from a finite-dimensional vector space to another finite-dimensional vector space can be represented by a matrix with respect to suitable bases of the vector spaces. However, it does not apply to linear transformations that change the dimension of the vector space.

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Answer: The parent function y = 2^x has been transformed as follows:

- Shifted 2.5 units to the left: y = 2^(x+2.5)

- Stretched vertically by a factor of 3: y = 3*2^(x+2.5)

- Reflected across the x-axis: y = -3*2^(x+2.5)

Therefore, an equation for the function with the given characteristics is:

y = -3*2^(x+2.5)

Step-by-step explanation:

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

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Since, there are multiple questions so, the question answered above is attached below

The trigοnοmetric equatiοn we can use tο find x is x = 30 tan(25)

Assuming the cοnveyοr belt is leaning against the building in a straight line, we can use trigοnοmetry tο find x.

Here, θ is the angle between the grοund and the cοnveyοr belt, and x is the distance frοm the base οf the building tο where the cοnveyοr belt tοuches the grοund.

Using trigοnοmetry, we knοw that:

tan(θ) = οppοsite/adjacent

In this case, the οppοsite side is x and the adjacent side is 30 feet, sο we can write:

tan(25) = x/30

Sοlving fοr x, we get:

x = 30 tan(25)

Sο the trigοnοmetric equatiοn we can use tο find x is:

x = 30 tan(25)

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Answer:

Scenario 1: The slope of the line would be negative because as time increases (i.e., more hours of riding), the amount of gas in the tank decreases. The rate of change would be -0.1 gallons of gas per hour of riding.

Scenario 2: The slope of the line would be zero because there is no change in the number of gum pieces over time. The rate of change would be 0 pieces of gum per day.

Answer:

Possibly 17% or 17

Step-by-step explanation:

I'm sorry if this is not the answer you were looking for I was a bit confused with this question.

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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Answer:

PART A: An absolute value equation that could be used to determine the maximum and minimum value of w is:

|w - 7.21| ≤ 0.04

PART B: To determine the maximum and minimum value of w, we can solve the inequality in part A.

Adding 7.21 to both sides of the inequality, we get:

-0.04 ≤ w - 7.21 ≤ 0.04

Adding 7.21 to all three parts of the inequality, we get:

7.17 ≤ w ≤ 7.25

Therefore, the maximum value of w is 7.25 cm, and the minimum value of w is 7.17 cm.

Answer:40 weeks. Total lbs of food / lbs of food the cat eats = Total weeks it will last. 60 divided by 1.5 = 40 weeks.

Step-by-step explanation:

The length of the rectangular garden is approximately 9.52 meters if its width is 2.52 meters.

1. To write an equation that represents the garden's length in meters based on its width in meters, we can use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width). In this case, we know that the area is 24 square meters, so we can write:

lw = 24

Solving for l, we can divide both sides of the equation by w:

l = 24/w

2. If the garden's width is 2.5 meters, we can plug this value into the equation we just derived and solve for the length:

l = 24/w

l = 24/2.5

l = 9.6

Therefore, the garden's length is 9.6 meters if its width is 2.5 meters.

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Marieme wants to build a rectangular garden whose area is 2424 square meters.

1. Write an equation that represents the garden's length in meters based on its width in meters.

2. What is the garden's length if its width is 2.52, point, 5 meters?

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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The slope of the linear equation in the graph is a = 2.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁,y₁) and (x₂, y₂), then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Using the graph we can identify two points like (0, 2) and (1, 4), then the slope is:

a = (4 - 2)/(1 - 0) = 2/1 = 2

That is the slope.

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Answer:

1075.2 ounces of cranberries

the current ratio for Kirsten Company is 2.81.

To calculate the current ratio for Kirsten Company, we need to divide its current assets by its current liabilities.

The current assets include cash, accounts receivable, merchandise inventory, and prepaid insurance, which have a total value of $2,800,000 + $4,200,000 + $1,800,000 + $350,000 = $9,150,000.

The current liabilities include accounts payable, unearned revenue, and wages payable, which have a total value of $760,000 + $850,000 + $1,650,000 = $3,260,000.

Therefore, the current ratio for Kirsten Company is:

Current Ratio = Current Assets / Current Liabilities

Current Ratio = $9,150,000 / $3,260,000

To express the ratio of $9,150,000 to $3,260,000 in a simplified form, we can divide both numbers by their greatest common factor, which is 410,000:

$9,150,000 / 410,000 = 22.31707...

$3,260,000 / 410,000 = 7.95122...

Rounding these to the nearest whole number, we get:

$9,150,000 : $3,260,000 ≈ 22 : 8

Therefore, the ratio of $9,150,000 to $3,260,000 in simplified form is 22:8, or more simply, 11:4.

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This implies that Trizah's garden's total length and breadth cannot perimeter exceed 11 yards if she wishes to fence it in with the 22 yards of fence material she possesses.

A limit is a closed path that surrounds, delimits, or contains a two-dimensional shape or a one-dimensional length. The perimeter is the outermost section of a circle or ellipse. The perimeter calculation has various real-world applications. The perimeter of a form is the radius of its edges. Understand how to calculate the circle by summing the lengths of both sides of irregular layouts. The perimeter of any shape may be computed by multiplying its side lengths. The zone that surrounds an item is known as its perimeter. A closed-off garden is a fantastic example of this at your property. Its perimeter is the space around anything. A 200-foot barrier will be necessary for a 50-by-50-foot yard.

We need to know the perimeter of Trizah's garden to assess whether she has enough fence material to go all the way around it.

Assume Trizah's garden is rectangular, with L yards of length and W yards of width. The rectangle's perimeter P is given by:

P = 2L + 2W

Trizah has 22 yards of fence material, which implies she has:

P ≤ 22

When we substitute the formula for P, we get:

2L + 2W ≤ 22

When we simplify the inequality, we get:

L + W ≤ 11

This implies that Trizah's garden's total length and breadth cannot exceed 11 yards if she wishes to fence it in with the 22 yards of fence material she possesses.

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Answer:

C) 114º

Step-by-step explanation:

We know

A pentagon is 540°

The 4 angles given are: 103°, 111°, 122°, 90°

We take

103 + 111 + 122 + 90 = 426°

Then we find the missing angle x by taking

540 - 426 = 114°

So, the missing angle x is 114º

Applying the definition of complementary angles, we have:

1. The measure of the angle is 52.5°

2. The measure of the angle is 72°

3. The measure of the angle is 50° and its complement is 40°.

4. One angle measures 54°, and its complement measures 36°.

Complementary angles are two angles whose measures add up to 90 degrees (a right angle). In other words, if you have two angles, A and B, and they are complementary, then A + B = 90 degrees.

1. Let x be the measure of the angle, then its complement is (90 - x) degrees.

The problem tells us that the measure of the angle is 15 degrees more than its complement, so we can set up an equation:

x = (90 - x) + 15

Simplifying this equation, we can solve for x:

x = 90 - x + 15

2x = 105

x = 52.5

Therefore, the measure of the angle is 52.5 degrees, and its complement is 37.5 degrees.

2. Let x be the measure of the angle, then its complement is (90 - x) degrees.

The problem tells us that the measure of the angle is four times the measure of its complement, so we can set up an equation:

x = 4(90 - x)

Simplifying this equation, we can solve for x:

x = 360 - 4x

5x =360

x = 72

Therefore, the measure of the angle is 72 degrees, and its complement is 18 degrees.

3. Let x be the measure of the angle, then its complement is (90 - x) degrees.

x = 2(90 - x) - 30

Simplifying this equation, we can solve for x:

x = 180 - 2x - 30

3x = 150

x = 50

Therefore, the measure of the angle is 50 degrees, and its complement is 40 degrees.

4. Let x be the measure of one angle, then the measure of its complement is (90 - x) degrees.

x - (90 - x) = 18

Simplifying this equation, we can solve for x:

2x - 90 = 18

2x = 108

x = 54

Therefore, one angle measures 54 degrees, and its complement measures 36 degrees.

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